47673288 has 144 divisors (see below), whose sum is σ = 146388060. Its totient is φ = 13927680.

The previous prime is 47673277. The next prime is 47673347. The reversal of 47673288 is 88237674.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47361924 + 311364 = 6882^2 + 558^2 .

It is a super-3 number, since 3×47673288³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899470 + ... + 899522.

Almost surely, 2^47673288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47673288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194030).

47673288 is an abundant number, since it is smaller than the sum of its proper divisors (98714772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47673288 is a wasteful number, since it uses less digits than its factorization.

47673288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 47673288 is about 6904.5845638967. The cubic root of 47673288 is about 362.5976919420.

It can be divided in two parts, 47673 and 288, that added together give a square (47961 = 219²).

The spelling of 47673288 in words is "forty-seven million, six hundred seventy-three thousand, two hundred eighty-eight".